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Sep 5 at 14:08 comment added Daniel Asimov I find it beyond ridiculous that this question should be closed. It is a perfectly reasonable question, since it is about an important unsolved problem in research mathematics. There is nothing gained by closing such a question. In fact, it led to Jochen Glueck's very useful debunking of the paper in his answer below.
Sep 4 at 9:04 comment added Jochen Glueck @JochenWengenroth: In defense of the new club members whose paper is linked in the question, I have to say that their paper is at least sufficiently clearly written that I could find the mistake within 20 minutes or so. In contrast, when I tried to read Enflo's recent paper, I just gave up after the same period of time.
Sep 4 at 8:39 history closed Monroe Eskew
Dave Benson
Qiaochu Yuan
Daniele Tampieri
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Sep 4 at 7:41 comment added Jochen Wengenroth The club of ISP-solvers has quite a number of members, it might be chaired by Enflo (arxiv.org/abs/2305.15442) and de Branges (math.purdue.edu/~branges/invariantsubspaces.pdf).
Sep 4 at 7:01 comment added Emil Jeřábek MDPI, and Axioms in particular, is a predatory publisher. The referee requests they occasionally send me ask for reviews due in two weeks, which is completely ridiculous; this kind of review process is obviously just a fig leaf. And, of course, they ask authors for exorbitant article processing charges (a recent spam from them I found in my inbox mentions 2400 CHF). Also, I was under the impression that Axioms was supposed to be a logic journal; what that has to do with functional analysis?
Sep 4 at 6:46 answer added Jochen Glueck timeline score: 21
Sep 4 at 6:10 review Close votes
Sep 4 at 8:43
Sep 4 at 6:06 history edited Daniele Tampieri CC BY-SA 4.0
Added extended reference
Sep 4 at 6:03 comment added Antonius Without looking at the paper, I'd say the proof is probably wrong. Otherwise the authors would have chosen a first rate journal. The journal Axioms is not even on the MR reference list.
Sep 4 at 5:50 history edited euleroid CC BY-SA 4.0
deleted 2 characters in body
S Sep 4 at 5:49 review First questions
Sep 4 at 6:03
S Sep 4 at 5:49 history asked euleroid CC BY-SA 4.0